204212123120 has 80 divisors (see below), whose sum is σ = 502966215840. Its totient is φ = 76892654592.

The previous prime is 204212123119. The next prime is 204212123189. The reversal of 204212123120 is 21321212402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 204212123092 and 204212123101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189227 + ... + 666506.

It is an arithmetic number, because the mean of its divisors is an integer number (6287077698).

Almost surely, 2^204212123120 is an apocalyptic number.

204212123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204212123120 is an abundant number, since it is smaller than the sum of its proper divisors (298754092720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204212123120 is a wasteful number, since it uses less digits than its factorization.

204212123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855922 (or 855916 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 204212123120 its reverse (21321212402), we get a palindrome (225533335522).

The spelling of 204212123120 in words is "two hundred four billion, two hundred twelve million, one hundred twenty-three thousand, one hundred twenty".